137628912918309120

137,628,912,918,309,120 is an even composite number composed of eight prime numbers multiplied together.

What does the number 137628912918309120 look like?

This visualization shows the relationship between its 8 prime factors (large circles) and 20736 divisors.

137628912918309120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of twenty thousand, seven hundred thirty-six divisors.

Prime factorization of 137628912918309120:

28 × 37 × 5 × 7 × 113 × 172 × 19 × 312

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 11 × 17 × 17 × 19 × 31 × 31)

See below for interesting mathematical facts about the number 137628912918309120 from the Numbermatics database.


Names of 137628912918309120

  • Cardinal: 137628912918309120 can be written as One hundred thirty-seven quadrillion, six hundred twenty-eight trillion, nine hundred twelve billion, nine hundred eighteen million, three hundred nine thousand, one hundred twenty.

Scientific notation

  • Scientific notation: 1.3762891291830912 × 1017

Factors of 137628912918309120

  • Number of distinct prime factors ω(n): 8
  • Total number of prime factors Ω(n): 25
  • Sum of prime factors: 95

Divisors of 137628912918309120

Bases of 137628912918309120

  • Binary: 1111010001111010011000100011000010101000110101001000000002
  • Hexadecimal: 0x1E8F4C46151A900
  • Base-36: 11N5DLR2C000

Squares and roots of 137628912918309120

  • 137628912918309120 squared (1376289129183091202) is 18941717671075514973846519875174400
  • 137628912918309120 cubed (1376289129183091203) is 2606928011875649081504010594586449163886713110528000
  • The square root of 137628912918309120 is 370983709.7748486315
  • The cube root of 137628912918309120 is 516301.3094566587

Scales and comparisons

How big is 137628912918309120?
  • 137,628,912,918,309,120 seconds is equal to 4,376,173,716 years, 32 weeks, 2 days, 19 hours, 12 minutes.
  • To count from 1 to 137,628,912,918,309,120 would take you about thirteen billion, one hundred twenty-eight million, five hundred twenty-one thousand, one hundred forty-nine years!

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 137628912918309120 cubic inches would be around 43025.1 feet tall.

Recreational maths with 137628912918309120

  • 137628912918309120 backwards is 021903819219826731
  • 137628912918309120 is a Harshad number.
  • The number of decimal digits it has is: 18
  • The sum of 137628912918309120's digits is 72
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 137628912918309120 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.

APA style:
Numbermatics. (2024). Number 137628912918309120 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/137628912918309120/

Chicago style:
Numbermatics. 2024. "Number 137628912918309120 - Facts about the integer". https://numbermatics.com/n/137628912918309120/

The information we have on file for 137628912918309120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 137628912918309120, math, Factors of 137628912918309120, curriculum, school, college, exams, university, Prime factorization of 137628912918309120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, six hundred twenty-eight trillion, nine hundred twelve billion, nine hundred eighteen million, three hundred nine thousand, one hundred twenty.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.